Exact solution of large deformation basic equations of circular membrane under central force

DOI10.1007/S10483-006-1005-1zbMath1165.74029OpenAlexW2048591398MaRDI QIDQ1030421

Jiping Hao, Xin-li Yan

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-1005-1

zbMATH Keywords

uniquenessfixed point theorem

Mathematics Subject Classification ID

Membranes (74K15) Explicit solutions of equilibrium problems in solid mechanics (74G05) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (2)

Closed-form solution of elastic circular membrane with initial stress under uniformly-distributed loads: Extended Hencky solution ⋮ Analytical solutions for the elastic circular rod nonlinear wave, Boussinesq, and dispersive long wave equations

Cites Work

• The symmetrical deformation of a circular membrane under the action of uniformly distributed loads on its central portion
• Existence and uniqueness theorems of solutions for symmetric contracted operator equations and their applications
• Large deformation of circular membrane under the concentrated force
• Large deflections of axisymmetric circular membranes

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